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GCD of 826, 958, 42 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 826, 958, 42 quickly. Get the easiest ways to solve the greatest common divisor of 826, 958, 42 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 958, 42 with Factoring?

Given Input numbers are 826, 958, 42

In the factoring method, we have to find the divisors of all numbers

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42


GCD of numbers is the greatest common divisor

So, the GCD (826, 958, 42) = 2.

Find GCD of 826, 958, 42 using Prime Factorization

Given numbers are 826, 958, 42

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 958 are 2 x 479

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 826, 958, 42 is 2.

Steps to Calculate GCD of 826, 958, 42 using LCM Formula

Given numbers are 826, 958, 42

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(826, 958) = 395654

GCD(826, 958) = ( 826 x 958 ) / 395654

= 826 / 958

= 826


Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2


So, Greatest Common Divisor of 826, 958, 42 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 958, 42

Given numbers are 826, 958, 42
The greatest common divisor of numbers 826, 958, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 958, 42 is 2.

FAQs on GCD of 826, 958, 42 Calculator

1. What is the GCD of 826, 958, 42?

GCD of given numbers 826, 958, 42 is 2


2. How to calculate the greatest common divisor of 826, 958, 42?

We can find the highest common divisor of 826, 958, 42 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 826, 958, 42 i.e 2.


3. How can I use the GCD of 826, 958, 42Calculator?

Out the numbers 826, 958, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.